We are given that:
i- The store is having 20% off sale
ii- Trina has a 10% coupon
Therefore, Trina will be having a discount = 20 + 10 = 30% of the bike's price
This means that:
Trina will pay 100% - 30% = 70% of the price
We are given that:
The original price of the bike = <span>$89.75
We now know that:
Trina will pay 70% of its price
Therefore:
Final price = 70% * </span>89.75 = 0.7 * <span>89.75
Final price = $62.825
Hope this helps :)</span>
Answer:
what grade is thistfgydyfyryhehdhufhf
Explanation:
In order to prove that affirmation, we define the function g over the interval [0, 1/2] with the formula 
If we evaluate g at the endpoints we have
g(0) = f(1/2)-f(0) = f(1/2) - f(1) (because f(0) = f(1))
g(1/2) = f(1) - f(1/2) = -g(0)
Since g(1/2) = -g(0), we have one chance out of three
- g(0) > 0 and g(1/2) < 0
- g(0) < 0 and g(1/2) > 0
- g(0) = g(1/2) = 0
We will prove that g has a zero on [0,1/2]. If g(0) = 0, then it is trivial. If g(0) ≠ 0, then we are in one of the first two cases, and therefore g(0) * g(1/2) < 0. Since f is continuous, so is g. Bolzano's Theorem assures that there exists c in (0,1/2) such that g(c) = 0. This proves that g has at least one zero on [0,1/2].
Let c be a 0 of g, then we have

Hence, f(c+1/2) = f(c) as we wanted.
The answer is C because when you rotate 90 degrees clockwise (x,y) becomes (y,-x)
<span>Amoeba splits 3 times an hour. If Amoeba can split into two every 20 mins then if you divide 60 mins (which would be an hour) by 20 mins (the time they split) you would find that Amoeba can split 3 times in an hour. The question asks how many times it can split in two hours. To find this you have to multiply the 3 times 2. This means that a single Amoeba can split 6 times in two hours. There are 15 Amoeba which means if you take 15 Amoeba time 6 in two hours and 90 would be your answer. There will be 90 Amoeba after the two hours.</span>